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206211440 = 24511322811
BaseRepresentation
bin11000100101010…
…00100101110000
3112101000121220202
430102220211300
5410242231230
632243454332
75052524351
oct1422504560
9471017822
10206211440
11a6445786
12590873a8
1333950606
141d55bd28
1513184a45
hexc4a8970

206211440 has 40 divisors (see below), whose sum is σ = 483705648. Its totient is φ = 81751040.

The previous prime is 206211437. The next prime is 206211449. The reversal of 206211440 is 44112602.

206211440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206211449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2366 + ... + 20445.

Almost surely, 2206211440 is an apocalyptic number.

206211440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206211440 is an abundant number, since it is smaller than the sum of its proper divisors (277494208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206211440 is a wasteful number, since it uses less digits than its factorization.

206211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22937 (or 22931 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 206211440 is about 14360.0640667095. The cubic root of 206211440 is about 590.7960527116.

The spelling of 206211440 in words is "two hundred six million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 22811 45622 91244 114055 182488 228110 364976 456220 912440 1824880 2577643 5155286 10310572 12888215 20621144 25776430 41242288 51552860 103105720 206211440